How to fix Mobile Primary Navigation

Site URL: https://alexandrahall.squarespace.com

Hey all,

This my final tweak for this website I have been trying to create for a project but I can't figure this part out. How can I make my mobile nav primary header look more like this (photos attached). I can't figure out how to get rid of the instagram icon and tex in the drop down menu and but the icon by itself in the actual mobile website header. I also can't figure out how to add "Home" "About" and "Contact" to the menu. As well as keep the header fixed when the menu drops down. My website is the first photo, reference site is the right. THANK YOU.